PDE can be regarded as a manifold with a distribution. Solutions of the PDE correspond to integral submanifolds of the distributio
Abstractby Florian StampferEnth. u.a. 1 Veröff. d. Verf. aus den Jahren 2011 . - Zsfassung in dt. Sp...
This paper lays the foundations for a nonlinear theory of differential geometry that is developed in...
Hamiltonian Mechanics is the study of dynamical systems on smooth manifolds which come equipped with...
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
PDEs as infinite-dimensional manifolds with involutive distributions and study their special morphis...
Abstract. We obtain a new series of integral formulae for symmetric func-tions of curvature of a dis...
Our paper contains two main results: (1) the integral manifolds of a distribution together with two ...
Using the language of jet spaces, for any analytic PDE E we define, in a coordinatefree way, a famil...
Following I. S. Krasilshchik and A. M. Vinogradov, we regard systems of PDEs as manifolds with invol...
AbstractWe present a geometric approach to defining an algebra G(M) (the Colombeau algebra) of gener...
A contact distribution C on a manifold M determines a symplectic bundle C-->M. In this paper we ...
ABSTRACT. Our paper contains two main results: (1) the integral manifolds of a distri-bution togethe...
AbstractAn improvement in definition permits us to make invariant under the action of C∞ diffeomorph...
Abstract. In Riemannian geometry many geometric objects are described as sections of fibre bundles. ...
We present a geometric approach to defining an algebra (M) (the Colombeau algebra) of generalized fu...
Abstractby Florian StampferEnth. u.a. 1 Veröff. d. Verf. aus den Jahren 2011 . - Zsfassung in dt. Sp...
This paper lays the foundations for a nonlinear theory of differential geometry that is developed in...
Hamiltonian Mechanics is the study of dynamical systems on smooth manifolds which come equipped with...
We introduce a new geometric invariant of PDEs: with any analytic system of PDEs we associate natura...
PDEs as infinite-dimensional manifolds with involutive distributions and study their special morphis...
Abstract. We obtain a new series of integral formulae for symmetric func-tions of curvature of a dis...
Our paper contains two main results: (1) the integral manifolds of a distribution together with two ...
Using the language of jet spaces, for any analytic PDE E we define, in a coordinatefree way, a famil...
Following I. S. Krasilshchik and A. M. Vinogradov, we regard systems of PDEs as manifolds with invol...
AbstractWe present a geometric approach to defining an algebra G(M) (the Colombeau algebra) of gener...
A contact distribution C on a manifold M determines a symplectic bundle C-->M. In this paper we ...
ABSTRACT. Our paper contains two main results: (1) the integral manifolds of a distri-bution togethe...
AbstractAn improvement in definition permits us to make invariant under the action of C∞ diffeomorph...
Abstract. In Riemannian geometry many geometric objects are described as sections of fibre bundles. ...
We present a geometric approach to defining an algebra (M) (the Colombeau algebra) of generalized fu...
Abstractby Florian StampferEnth. u.a. 1 Veröff. d. Verf. aus den Jahren 2011 . - Zsfassung in dt. Sp...
This paper lays the foundations for a nonlinear theory of differential geometry that is developed in...
Hamiltonian Mechanics is the study of dynamical systems on smooth manifolds which come equipped with...